Barron [1]} was the first to prove an entropic CLT for the classical statistic \(Z_n\) , i.e. \(D(Z_n)\rightarrow 0\) . Many more results on entropic CLTs can be found in [2]}. Moreover, in [3]}, an Edgeworth expansion was used to determine the rates of convergence in the entropic CLT for the classical statistic.
We prove such type of result for the self-normalized sum.
